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Borrower Joe has an existing loan that requires 15 more years of monthly payments of $1,004....

Borrower Joe has an existing loan that requires 15 more years of monthly payments of $1,004. He is considering refinancing the loan balance of $117.095.08 with a new loan at the current market rate of 5.675% for 15-year loans. Both the old loan and the new loan require 2 points plus $500 in origination fees. What is the NPV of the refinancing decision at an opportunity rate of 5.675%? Should Joe choose NOT to refinance his existing loan.

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Answer #1

Formulas Rate Installment Loan Amount 5.675% 180 117095.08 5.675% 180 117095.08 PMT of New Loan PMT of Existing Loan $967.67

Since, NPV of refinancing is negative, Joe should not refinance the Loan. In case origination fee of 2 points plus 500 is only charged once i.e. only on New Loan, refinancing can be considered. In that case NPV will be positive i.e. $ 1553.90

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